Highest Common Factor of 627, 546, 431 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 627, 546, 431 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 627, 546, 431 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 627, 546, 431 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 627, 546, 431 is 1.
HCF(627, 546, 431) = 1
HCF of 627, 546, 431 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 627, 546, 431 is 1.
Highest Common Factor of 627,546,431 is 1
Step 1: Since 627 > 546, we apply the division lemma to 627 and 546, to get
627 = 546 x 1 + 81
Step 2: Since the reminder 546 ≠ 0, we apply division lemma to 81 and 546, to get
546 = 81 x 6 + 60
Step 3: We consider the new divisor 81 and the new remainder 60, and apply the division lemma to get
81 = 60 x 1 + 21
We consider the new divisor 60 and the new remainder 21,and apply the division lemma to get
60 = 21 x 2 + 18
We consider the new divisor 21 and the new remainder 18,and apply the division lemma to get
21 = 18 x 1 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 627 and 546 is 3
Notice that 3 = HCF(18,3) = HCF(21,18) = HCF(60,21) = HCF(81,60) = HCF(546,81) = HCF(627,546) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 431 > 3, we apply the division lemma to 431 and 3, to get
431 = 3 x 143 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 431 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(431,3) .
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Frequently Asked Questions on HCF of 627, 546, 431 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 627, 546, 431?
Answer: HCF of 627, 546, 431 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 627, 546, 431 using Euclid's Algorithm?
Answer: For arbitrary numbers 627, 546, 431 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.